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Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions

Garcke, Harald and Ito, Kazuo and Yoshihito, Kohsaka (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM Journal on Mathematical Analysis 36 (4), 1031-1056 .

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Abstract

The linearized stability of stationary solutions to the surface diffusion flow with angle and no-flux boundary conditions is studied. In this linearized stability analysis the $H^{-1}$ gradient flow structure plays a key role. As a byproduct the analysis also gives a criterion for the stability of critical points of the length functional of curves which come into contact with the outer boundary. ...

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Item Type:Article
Date:2005
Institutions:Mathematics > Prof. Dr. Harald Garcke
Keywords:surface diffusion, gradient flow, stability of stationary solutions, eigenvalues, isoperimetric problems
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Unknown
Created at the University of Regensburg:Unknown
Owner: Eva Ruetz
Deposited On:20 Nov 2009 07:02
Last Modified:13 Mar 2014 12:06
Item ID:10962
Owner Only: item control page

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